The sum of one–half a number and two-thirds the number is equal to twenty-five less than twice the number.
1 answer:
Answer: x +
x = 2x - 25
Step-by-step explanation:
First, let's analyze the phrase "the sum of one-half and two-thirds the number". This would translate to:
x +
x
Then it says the last part of the expression is "twenty five less than twice the number"
2x - 25
Then, equal the two parts of the equation to each other.
x +
x = 2x - 25
Hope this helps! :)
You might be interested in
Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function </u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).